1. Three grades of coal A, B and C contain phosphorus and ash as impurities. In a particular industrial process, fuel up to 100 ton (maximum) is required which should contain ash not more than 3% and phosphorus not more than 0.03%. It is desired to maximize the profit while satisfying these conditions. There is an unlimited supply of each grade. The percentage of impurities and the profits of grades are given below:Coal | Phosphorus (%) | Ash (%) | Profits in $ per tonA | 0.02 | 3.0 | 12B | 0.04

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